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  • 1
    Call number: 19/M 11.0092
    Description / Table of Contents: This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations. Contens: Part I. Variational Principles in Mathematical Physics: 1. Variational principles; 2. Variational inequalities; 3. Nonlinear eigenvalue problems; 4. Elliptic systems of gradient type; 5. Systems with arbitrary growth nonlinearities; 6. Scalar field systems; 7. Competition phenomena in Dirichlet problems; 8. Problems to Part I; Part II. Variational Principles in Geometry: 9. Sublinear problems on Riemannian manifolds; 10. Asymptotically critical problems on spheres; 11. Equations with critical exponent; 12. Problems to Part II; Part III. Variational Principles in Economics: 13. Mathematical preliminaries; 14. Minimization of cost-functions on manifolds; 15. Best approximation problems on manifolds; 16. A variational approach to Nash equilibria; 17. Problems to Part III; Appendix A. Elements of convex analysis; Appendix B. Function spaces; Appendix C. Category and genus; Appendix D. Clarke and Degiovanni gradients; Appendix E. Elements of set-valued analysis
    Type of Medium: Monograph available for loan
    ISBN: 9780521117821
    Series Statement: Encyclopedia of mathematics and its applications 136
    Classification:
    Mathematics
    Location: Reading room
    Branch Library: GFZ Library
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  • 2
    Monograph available for loan
    Monograph available for loan
    Cambridge : Cambridge University Press
    Call number: 4/M 11.0330
    Description / Table of Contents: The fourth edition of Physics of the Earth maintains the original philosophy of this classic graduate textbook on fundamental solid earth geophysics, while being completely revised, updated, and restructured into a more modular format to make individual topics even more accessible. Building on the success of previous editions, which have served generations of students and researchers for nearly forty years, this new edition will be an invaluable resource for graduate students looking for the necessary physical and mathematical foundations to embark on their own research careers in geophysics. Several completely new chapters have been added and a series of appendices, presenting fundamental data and advanced mathematical concepts, and an extensive reference list, are provided as tools to aid readers wishing to pursue topics beyond the level of the book. Table of contens: Preface; 1. Origin and history of the Solar System; 2. Composition of the Earth; 3. Radioactivity, isotopes and dating; 4. Isotopic clues to the age and origin of the Solar System; 5. Evidence of the Earth's evolutionary history; 6. Rotation, figure of the Earth and gravity; 7. Precession, wobble and rotational irregularities; 8. Tides and the evolution of the lunar orbit; 9. The satellite geoid, isostasy and post-glacial rebound; 10. Elastic and inelastic properties; 11. Deformation of the crust: rock mechanics; 12. Tectonics; 13. Convective and tectonic stresses; 14. Kinematics of the earthquake process; 15. Earthquake dynamics; 16. Seismic wave propagation; 17. Seismological determination of Earth structure; 18. Finite strain and high pressure equations of state; 19. Thermal properties; 20. The surface heat flux; 21. The global energy budget; 22. Thermodynamics of convection; 23. Thermal history; 24. The geomagnetic field; 25. Rock magnetism and paleomagnetism; 26. Alternative energy sources and natural climate variations: some geophysical background; Appendix A. General reference data; Appendix B. Orbital dynamics (Kepler's laws); Appendix C. Spherical harmonic functions; Appendix D. Relationships between elastic moduli of an isotropic solid; Appendix E. Thermodynamic parameters and derivative properties; Appendix F. An Earth model: mechanical properties; Appendix G. A thermal model of the Earth; Appendix H. Radioactive isotopes; Appendix I. A geological time scale 2004; Appendix J. Problems; References; Index.
    Type of Medium: Monograph available for loan
    Edition: 4th ed., reprint. 2011
    ISBN: 9780521873628
    Classification:
    Geophysics
    Location: Reading room
    Branch Library: GFZ Library
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  • 3
    Monograph available for loan
    Monograph available for loan
    Cambridge : Cambridge University Press
    Call number: 5/M 12.0145 ; M 16.18449
    Description / Table of Contents: The magnetotelluric method is a technique for imaging the electrical conductivity and structure of the Earth, from the near surface down to the 410 km transition zone and beyond. This book forms the first comprehensive overview of magnetotellurics from the salient physics and its mathematical representation, to practical implementation in the field, data processing, modeling and geological interpretation. Electromagnetic induction in 1-D, 2-D and 3-D media is explored, building from first principles, and with thorough coverage of the practical techniques of time series processing, distortion, numerical modeling and inversion. The fundamental principles are illustrated with a series of case histories describing geological applications. Technical issues, instrumentation and field practices are described for both land and marine surveys. Contents: 1. Introduction to the magnetotelluric method Alan D. Chave and Alan G. Jones; 2. The theoretical basis for electromagnetic induction Alan D. Chave and Peter Weidelt; 3. Earth's magnetic environment: 3A. Conductivity of Earth materials Rob L. Evans; 3B. Description of the magnetospheric/ionospheric sources Ari Viljanen; 4. The magnetotelluric response function Peter Weidelt and Alan D. Chave; 5. Estimation of the magnetotelluric response function Alan D. Chave; 6. Distortion of magnetotelluric data: its identification and removal Alan G. Jones; 7. The 2D and 3D forward problems Chester Weiss; 8. The inverse problem William L. Rodi and Randall L. Mackie; 9. Instrumentation and field procedures Ian Ferguson; 10. Case histories and geological applications Ian Ferguson, Alan G. Jones and Alan D. Chave
    Type of Medium: Monograph available for loan
    Pages: XVII, 552 S. , Ill., graph. Darst., Kt.
    Edition: 3rd printing
    ISBN: 978-0-521-81927-5
    Classification:
    Geomagnetism, Geoelectromagnetism
    Location: Reading room
    Location: Upper compact magazine
    Branch Library: GFZ Library
    Branch Library: GFZ Library
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  • 4
    Monograph available for loan
    Monograph available for loan
    Cambridge : Cambridge University Press
    Call number: 15/M 07.0474
    Description / Table of Contents: Contents: Part I. Basic Principles: 1. The tectonic stress field; 2. Pore pressure at depth in sedimentary basins; 3. Basic constitutive laws; 4. Rock failure in compression, tension and shear; 5. Fractures and faults in three dimensions; Part II. Measuring Stress Orientation and Magnitude: 6. Compressive and tensile failures in vertical wells; 7. Determination of S3 from minifracs and extended leak-off tests and constraining the magnitude of SHmax from wellbore failures in vertical wells; 8. Wellbore failure and stress determination in deviated wells; 9. Stress fields - from tectonic plates to reservoirs around the world; Part III. Applications: 10. Minimizing wellbore instability; 11. Critically stressed faults and fluid flow; 12. Reservoir depletion.
    Type of Medium: Monograph available for loan
    Pages: xii, 448 S.
    ISBN: 0521770696
    Classification:
    Deposits
    Location: Reading room
    Branch Library: GFZ Library
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